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Finding the Fourth Proportional to 21,536.87, 32,236.14 and 11,516.54

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Solution

The fourth proportional to 21,536.87, 32,236.14 and 11,516.54 is: 17,237.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,536.87 : 32,236.14 = 11,516.54 : x
  2. Step 2: Convert to fraction form
    21,536.87/32,236.14 = 11,516.54/x
  3. Step 3: Cross multiply
    21,536.87x = 32,236.14 × 11,516.54
  4. Step 4: Simplify right side
    21,536.87x = 371,248,634.57
  5. Step 5: Solve for x
    x = 371,248,634.57/21,536.87
  6. Step 6: Final answer
    x = 17,237.82

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.